Proof: Get Begin Expr State 28
Let's prove the following theorem:
if the following are true:
- the expression at time 28 = 0
- expression state at time 28 = "begin_expr"
- 0 is constant
- parent stack at time 28 = [ self."y" = 0, [ ] ]
then expression state at time 29 = "return"
Proof:
Given
1 | the expression at time 28 = 0 |
---|---|
2 | expression state at time 28 = "begin_expr" |
3 | 0 is constant |
4 | parent stack at time 28 = [ self."y" = 0, [ ] ] |
# | Claim | Reason |
---|---|---|
1 | expression state at time (28 + 1) = "return" | if expression state at time 28 = "begin_expr" and the expression at time 28 = 0 and 0 is constant and parent stack at time 28 = [ self."y" = 0, [ ] ], then expression state at time (28 + 1) = "return" |
2 | 28 + 1 = 29 | 28 + 1 = 29 |
3 | expression state at time (28 + 1) = expression state at time 29 | if 28 + 1 = 29, then expression state at time (28 + 1) = expression state at time 29 |
4 | expression state at time 29 = "return" | if expression state at time (28 + 1) = expression state at time 29 and expression state at time (28 + 1) = "return", then expression state at time 29 = "return" |
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